238823424 has 192 divisors, whose sum is σ = 809827200. Its totient is φ = 68124672.

The previous prime is 238823423. The next prime is 238823449. The reversal of 238823424 is 424328832.

It is a happy number.

238823424 is a `hidden beast` number, since 238 + 82 + 342 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (238823423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 386764 + ... + 387380.

It is an arithmetic number, because the mean of its divisors is an integer number (4217850).

Almost surely, 2^238823424 is an apocalyptic number.

238823424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238823424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404913600).

238823424 is an abundant number, since it is smaller than the sum of its proper divisors (571003776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

238823424 is an equidigital number, since it uses as much as digits as its factorization.

238823424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 629 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 238823424 is about 15453.9129025629. The cubic root of 238823424 is about 620.4293107081.

The spelling of 238823424 in words is "two hundred thirty-eight million, eight hundred twenty-three thousand, four hundred twenty-four".